Solve the problem.If the impedance of a resistor in a current is Z1 = (3 + 4i) ohms and the impedance of a second resistor is Z2 = (4 - 9i) ohms, find the total impedance of the two resistors when they are placed in a series (the sum of the two impedances).??Series Circuit

A. (7 - 5i) ohms
B. (7 + 5i) ohms
C. (-7 + 5i) ohms
D. (1 + 13i) ohms


Answer: A

Mathematics

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Solve the equation.(x + 6) = (x + 8)

A. -12 B. {3} C. 2 D. -2

Mathematics

Determine whether the pair of lines is parallel, perpendicular, or neither.y = 9 - xy = x + 9

A. Parallel B. Perpendicular C. Neither

Mathematics

Solve.The radius of a sphere with surface area S is given by the expression .a) Simplify the expression.b) Find the radius of a beach ball if its surface area is 288 in.2. Express the answer in radical form.

A. a) ; b)  in.
B. a) ; b)  in.
C. a) ; b)  in.
D. a) ; b)  in.

Mathematics

Use geometry to show where the point P(3, 4) is located on the template for Sam’s dartboard.

Sam is sketching a template on graph paper to use as a guide for his painted cork dart board.
The diameter of Circle 1 is 2 feet and the distance between the edges of each of the next three
pairs of circles is 1 foot.The distance between Circle 4 and Circle 5 is 1/2 foot. Sam does not want
axes through or touching his template and therefore wishes to sketch the dart board only in
Quadrant I. At the closest points, he wants Circle 5 to be 1 unit from the y-axis and 1-unit from
the x-axis. In this case:

Mathematics